>...and to refuse access to people who post things they find distasteful on platforms they operate.

I tend to agree with what I think you're saying but I wonder if you realize what a controversial opinion that can be to some people. Consider the reaction to Rand Paul's criticism of the Civil Rights Act. Should one be able to operate a restaurant/business/country club that won't serve [blacks, LGBT, Muslims, whites, hispanics, cops, etc]?